1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009
=（1-1/2）+（1/2-1/3）+（1/3-1/4）+...+（1/2008-1/2009）
=1-1/2009
=2008/2009
学了数列 裂项 后 就会做了
急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每
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